Question

find the area of this irregular shape. a = ? cm² find the area of the first rectangle.

Explanation:

Step1: Analyze the irregular shape

The irregular shape can be divided into two rectangles. One rectangle has dimensions \(3\) cm (width) and \(5\) cm (height), and the other has dimensions \(8\) cm (length) and \(3\) cm (height).

Step2: Calculate the area of the first rectangle (vertical one)

The area of a rectangle is given by the formula \(A = l\times w\), where \(l\) is the length and \(w\) is the width. For the vertical rectangle, \(l = 5\) cm and \(w = 3\) cm. So, \(A_1=3\times5 = 15\) \(cm^2\).

Step3: Calculate the area of the second rectangle (horizontal one)

For the horizontal rectangle, \(l = 8\) cm and \(w = 3\) cm. Using the area formula for a rectangle, \(A_2 = 8\times3=24\) \(cm^2\).

Step4: Calculate the total area of the irregular shape

To find the total area, we add the areas of the two rectangles. So, \(A = A_1+A_2=15 + 24=39\) \(cm^2\).

Answer:

\(39\)